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11120011001022 = 237111012083114407
BaseRepresentation
bin1010000111010001010001…
…0011100011110010111110
31110101001200200112012101010
42201310110103203302332
52424142240304013042
635352243523500050
72225252144644560
oct241642423436276
943331620465333
1011120011001022
1135a7a74348290
1212b7171227626
136287c69907b1
142a62d6143330
151443cc5d459c
hexa1d144e3cbe

11120011001022 has 128 divisors (see below), whose sum is σ = 28016040665088. Its totient is φ = 2858319504000.

The previous prime is 11120011000993. The next prime is 11120011001041. The reversal of 11120011001022 is 22010011002111.

11120011001022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11120011000989 and 11120011001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97139743 + ... + 97254149.

It is an arithmetic number, because the mean of its divisors is an integer number (218875317696).

Almost surely, 211120011001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120011001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008020332544).

11120011001022 is an abundant number, since it is smaller than the sum of its proper divisors (16896029664066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120011001022 is a wasteful number, since it uses less digits than its factorization.

11120011001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116614.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120011001022 its reverse (22010011002111), we get a palindrome (33130022003133).

The spelling of 11120011001022 in words is "eleven trillion, one hundred twenty billion, eleven million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2083 2121 2222 3333 4166 4242 6249 6666 7777 12498 14581 15554 22913 23331 29162 43743 45826 46662 68739 87486 114407 137478 160391 210383 228814 320782 343221 420766 481173 631149 686442 800849 962346 1258477 1262298 1472681 1601698 2314213 2402547 2516954 2945362 3775431 4418043 4628426 4805094 6942639 7550862 8809339 8836086 11555107 13885278 16199491 17618678 23110214 26428017 32398982 34665321 48598473 52856034 69330642 80885749 97196946 127106177 161771498 238309781 242657247 254212354 381318531 476619562 485314494 714929343 762637062 889743239 1429858686 1668168467 1779486478 2621407591 2669229717 3336336934 5004505401 5242815182 5338459434 7864222773 10009010802 15728445546 18349853137 24069287881 36699706274 48138575762 55049559411 72207863643 110099118822 144415727286 168485015167 264762166691 336970030334 505455045501 529524333382 794286500073 1010910091002 1588573000146 1853335166837 3706670333674 5560005500511 11120011001022